The following integral
$$\int y^{l-1} G_{p,q}^{m,n}\left(z y \mid \begin{array}{c} \boldsymbol{a_{p}} \\ \boldsymbol{b_{q}} \end{array} \right) dy= y^{l} G_{p+1,q+1}^{m,n+1}\left(z y \mid \begin{array}{c} 1-l, \boldsymbol{a_{p}} \\ \boldsymbol{b_{q}},-l \end{array} \right)$$ is presented in Wolfram Functions Site http://functions.wolfram.com/HypergeometricFunctions/MeijerG/21/01/02/01/0002/
but i could not find another reference for this integral.